The astronomical object 4U0142 + 61 has the distinction of creating the most pow
ID: 1875792 • Letter: T
Question
The astronomical object 4U0142 + 61 has the distinction of creating the most powerful magnetic field ever observed. This object is referred to as "magnetar" (a subclass of pulsars), and its magnetic field is
1.3 1015 times greater than the Earth's magnetic field.
(a) Suppose a 5.0 m straight wire carrying a current of 1.0 A is placed in this magnetic field at an angle of 75° to the field lines. What force does this wire experience?
___N
(b) A field this strong can significantly change the behavior of an atom. To see this, consider an electron moving with a speed of 2.7 106 m/s. Compare the maximum magnetic force exerted on the electron to the electric force a proton exerts on an electron in a hydrogen atom. The radius of the hydrogen atom is 5.29 10-11 m.
(max force on electron)/(force of proton on electron) = ___
Explanation / Answer
(A) F = IL x B = I L B sin(theta)
{ field strength due to earth = 50 x 10^-6 T}
B = (1.3 x 10^15) (50 x 10^-6) = 6.5 x 10^10 T
F = (1 x 5)(6.5 x 10^10) sin75
F = 3.14 x 10^11 N .....Ans
(B) max force = k e^2 /r^2
= (9 x 10^9)(1.6x 10^-19)^2 /(5.29 x 10^-11)^2
= 8.233 x 10^-8 N
magnetic force = q v B
= (1.6 x 10^-19) (2.7 x 10^6 )(6.5 x 10^10)
= 0.02808 N
ratio = 2.93 x 10^-6
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.